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Subnormal structure of the general linear groups over Banach algebras. (English) Zbl 0653.20050

Let A be an er the generalized continuum hypothesis this result gives a description of all quasi-M-projective groups for every \(M\subseteq {\mathbb{N}}\).
Reviewer: A.M.Sebel’din

MSC:

20H25 Other matrix groups over rings
20E15 Chains and lattices of subgroups, subnormal subgroups
20E07 Subgroup theorems; subgroup growth
16S50 Endomorphism rings; matrix rings
46H05 General theory of topological algebras
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References:

[1] Vaserstein, L. N., On normal subgroups of \(GL_n\), Lecture Notes in Mathematics, 854, 456-465 (1981) · Zbl 0464.20030
[2] Vaserstein, L. N., Normal subgroups of the general linear groups over von Neumann regular rings, Proc. Amer. Math. Soc., 96, 2, 209-214 (1986) · Zbl 0594.16007
[3] Vaserstein, L. N., Normal subgroups of the general linear groups over Banach algebras, J. Pure Appl. Algebra, 41, 99-112 (1986) · Zbl 0589.20030
[4] Vaserstein, L. N., The subnormal structure of general linear groups, Math. Proc. Cambridge Philos. Soc., 99, 3, 425-431 (1986) · Zbl 0601.20046
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